Wash the resin repair with a mild stone cleaner formulated for use on travertine. Dilute the concentrated cleaner according to the package directions and remove any dust, dirt or grime from the repair site.
Dry the resin repair site with a microfiber cloth. Combine the tinted travertine resin according to the package directions in a plastic bowl. This generally involves mixing a clear epoxy with a tinted product until a suitable color match is created.
Dip the end of a toothpick into the resin and scrape it across the crack, paying attention to avoid smearing the product on the tile surrounding the damaged area.
Allow the resin to cure according to the package directions. Remove any excess resin with a razor blade. Holding the blade at a 30-degree angle, carefully scrape it across the resin crack repair to remove the excess product.